ZDAC
ZBAD.
What is the length of AC?
Round to one decimal place.
URGENT I NEED HELP WILL REWARD 5 stars

Answer:

The correct answer is :

Range is: {1000,1100,1200,1300,1400,1500,1600}

Step-by-step explanation:

We are given here input-output table.

Let us define the domain and range of a function.

Domain is the set of values that can be given as input to the function.

and

Range is the set of values that comes out as the output of the function.

For example:

[tex]y = f(x) = 2x[/tex]

The domain of the function above is the set of values of x.

The range of function is the value of y or f(x).

For above example, range can be set of all Real numbers i.e. R.

Range for the above example will also be set of all Real numbers i.e. R.

From the given table in the question statement:

Input or Domain = {10,20,30,40,50,60,70}

Output or Range = {1000,1100,1200,1300,1400,1500,1600}

Answer:

x-5

Step-by-step explanation:

f(x) = 5x-4

g(x) = 4x+1

Subtracting big equations

(f-g)(x) = 5x-4-4x-1

(f-g)(x) = x-5

Answer:

x-5

Step-by-step explanation:

I had the same question on my assignment lol

Answer:

Step-by-step explanation:

9/7, 14/3, 4/7, 30/29, 14/15

Answer:

14.97

Step-by-step explanation:

c^2 - a^2 = b^2

18^2 - 10^2 = x^2

324 - 100 = x^2

x^2 = 224

x = 14.97

The answer of this is C: 43

Answer:

C)43ft

Step-by-step explanation:

Area= pi*r(squared)

Pi*3.7(squared)=43.00

So answer=43pi(squared)

Answer:

2 hours

Step-by-step explanation:

[tex]\dfrac{\frac{3}{4}}{\frac{3}{2}}=\dfrac{1}{x} \\\\\\\dfrac{1}{2}=\dfrac{1}{x} \\\\\\x=2[/tex]

Hope this helps!

Answer:

The range of the function is all real numbers greater than or equal to -1.

Step-by-step explanation:

Second order polynomials are continous and have an absolute maximum or minimum that restricts the set of the range associated with the function. A fair approach to estimate the range is rewritting the expression into parabola form, which is:

[tex]y - k = C \cdot (x-h)^{2}[/tex]

Where:

[tex]C[/tex] - Vertix parameter, dimensionless. If [tex]C > 0[/tex], then vertix is an absolute minimum, but if [tex]C < 0[/tex], vertix is an absolute maximum.

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]h[/tex] - Location of the vertix with respect to the independent variable, dimensionless.

[tex]k[/tex] - Location of the vertix with respect to the dependent variable, dimensionless. This value restrics the set corresponding to the range of the polynomic function.

First, we have to expand polynomial into its standard form:

[tex]y = (x-4)\cdot (x-2)[/tex]

[tex]y = x^{2}-6\cdot x +8[/tex]

Now, we are going to complete the square and factorize the resultant expression until parabola form is obtained:

[tex]y = x^{2}-6\cdot x + 9 -9 + 8[/tex]

[tex]y = (x-3)^{2} -1[/tex]

[tex]y + 1 = 1 \cdot (x-3)^{2}[/tex]

Since the vertix parameter is positive, then vertix is an absolute minimum. The location of the vertix with respect ot the depedent variable is [tex]k = -1[/tex]. Therefore, the range of the function is all real numbers greater than or equal to -1.

Answer: 14000

Step-by-step explanation:

From the question, the first thing is to first calculate the simple interest (S.I). This will be:

S.I = (principal × rate × time)/100

where principal = 10,000

rate = 4%

time = 10 years

Simple interest = (10,000 × 4 × 10)/100

= 400000/100

= 4000

The total value after 10 years will be th addition of the amount invested and the interest. This will be:

= 10,000 + 4000

= 14000

Answer:

Step-by-step explanation:

[tex]3x^2+15x-5=0\\a = 3\\b = 15\\c = -5\\ x = -b\±\frac{\sqrt{b^{2} -4ac} }{2a} \\x = -(15)\±\frac{\sqrt{15^{2} -4(3)(-5)} }{2(3)} \\x = -15 \±\frac{\sqrt{225+60} }{6} \\x = -15\±\frac{\sqrt{285} }{6} = A[/tex]

Answer:

C

Step-by-step explanation:

Its the only one that is different from the other choices

Answer:

145

Step-by-step explanation:

Answer: R S M = 145

It seems that someone already gave the correct answer for this, but I'll add an explanation in case you're curious!

1. So, we can write it out as:

R S M

  R S                             (make sure you don't simplify it

x    R                              as  R^3*S^2*M, as each letter here

----------                           stands for an individual digit in a number)

2030

2.   The only possible value of R is 1, because any other value would be too big. (For example, 213*21*2=8946), for the sake of simplicity so let's write it as:

R S M

x   R S                          

----------                          

2030

3. Notice how the last digit in 2030 is 0? That means either M or S =5.

5*2 has a last digit of 0, so let's try that out. Let's sub it in to get 125*12=1500. That's too small, so let's try again.

5*4 also has a last digit of 0. Let's plug that in: 145*14=2030. Yay!

4. In conclusion, RSM*RS*R --- > 145*14*1=2030, so RSM = 145

Hope this helped you :)

Answer: 58°

Step-by-step explanation:

They say the triangles are equal. And they give us more information for the triangle on the right.

∠E = ∠B

We know ∠C and ∠D, so you should add them all up to equal 180. (degree of a triangle)

74 + 48 + ∠E = 180

122 + ∠E = 180

∠E = 58

So therefore ∠B = 58

Answer:

x = 29

Step-by-step explanation:

Focus on ΔDEC first. We know that two of its angles are ∠C = 48° and ∠D = 74°.

All of a triangle's angles must add up to 180° by the Triangle Sum Theorem. 48° + 74° = 122°. 180° - 122° is 58°. So ∠E is 58°.

Because the triangles are congruent, ∠E corresponds to ∠B.

Because ∠B is "2x," divide 58° by 2. 58° ÷ 2 = 29°. 29° × 2 = 58°, so this checks out.

I hope this helps!!

Answer: (a) x + 2y = -1  and  3x + y = 1

Step-by-step explanation:

I am not sure what the purpose was for the colored lines but I included them on the graph (below).

Answer:

The answer is A

Step-by-step explanation:

I took to the unit test on edge

Answer:

[tex]5n^2[/tex]

Step-by-step explanation:

This is a quadratic sequence.

The nth term must have [tex]n^2[/tex].

The sequence has a factor of [tex]5[/tex].

[tex]5n^2[/tex]

[tex]5(1)^2=5\\5(2)^2=20\\5(3)^2=45\\5(4)^2=80\\5(5)^2=125[/tex]

Few terms to this sequence are:

5, 20, 45, 80, 125, 180, 245, 320, 405, 500, 605, 720, 845, 980, 1125, 1280, 1445, 1620, 1805, 2000, 2205, 2420, 2645, 2880, 3125, 3380, 3645, 3920, 4205, 4500, 4805, 5120, 5445, 5780, ...

Answer:

[tex] 2\sin^2 A - 1 [/tex]

Step-by-step explanation:

[tex] \dfrac{\tan A - \cot A}{\tan A + \cot A​} = [/tex]

[tex] = \dfrac{\frac{\sin A}{\cos A} - \frac{\cos A}{\sin A}}{\frac{\sin A}{\cos A} + \frac{\cos A}{\sin A}} [/tex]

[tex] = \dfrac{\sin A \cos A \times (\frac{\sin A}{\cos A} - \frac{\cos A}{\sin A})}{\sin A \cos A \times (\frac{\sin A}{\cos A} + \frac{\cos A}{\sin A})} [/tex]

[tex] = \dfrac{\sin^2 A - \cos^2 A}{\sin^2 A + \cos^2 A} [/tex]

[tex] = \dfrac{\sin^2 A - \cos^2 A}{1} [/tex]

[tex] = \sin^2 A - \cos^2 A [/tex]

Since

[tex] \sin^2 A + \cos^2 A = 1 [/tex]

we know

[tex] \cos^2 A = 1 - \sin^2 A [/tex]

we now substitute to get

[tex] = \sin^2 A - (1 - \sin^2 A) [/tex]

[tex] = \sin^2 A - 1 + \sin^2 A) [/tex]

[tex] = 2\sin^2 A - 1 [/tex]

Answer:

y = |x - 4|

Step-by-step explanation:

Because the x value is the only variable that changed, it means the graph has moved only horizontally. The only value you are adding to will be inside the absolute value, not outside (as that is vertical transformation)

If that is the case, the graph has only moved right from (1, 1) to (4, 1), and thus from the parent graph y = |x| you would derive y = |x - 4|.

Answer:

-847

Step-by-step explanation:

Using PEMDAS, exponents come first. 6 ^ 3 is equal to 216. Then multiplication arrives.-4 * 216 = -864. Then addition has to be done. -864 + 17 =   -847

Answer:

-847

Step-by-step explanation:

10-4*6^3+7

PEMDAS

Parentheses first - there are none

Exponents

10-4*216+7

Multiply and divide from left to right

10-864+7

Add and subtract from left  to right

-854 +7

-847

Answer:

1st Option

Step-by-step explanation:

Average rate of change formula: [tex]\frac{f(a) - f(b)}{a-b}[/tex]

Simply plug in 8 as a and 6 as b.

Answer:

A.

Step-by-step explanation:

Δy /Δx = (y2 - y1)/(x2 - x1) = [g(x2) - g(x1)]/(x2 - x1)

[g(x2) - g(x1)]/(x2 - x1) =[g(8) - g(6)]/(8 - 6) =[tex]\frac{[-8^{2}-4(8)]-[-6^{2}-4(6)]}{8-6}[/tex]

Answer:

the correct answer is d

Step-by-step explanation:

the answer is d because most of the time when you take an eqation like -4(x-2)+5x and you flip some of the signs it changes the outcome

so x changes the eqation then when you siplify both sides you get

x+8

and

x

so x+8=x that has no solution to the eqation

all of the others come out to x+8 and the will all create infininte solutions other than d

The expression can be written on the other side of the equation is x+8.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is -4(x-2)+5x.

Here, the expression can be simplified as

-4(x-2)+5x

= -4x+8+5x

= x+8

Hence, the expression can be written on the other side of the equation is x+8.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ2

Answer:

4 feet

Step-by-step explanation:

Use pythagorean theorem to solve the center height of Sam’s tent.

The center height of the triangle or Sam's tent is given by AB = 4 feet

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the base of the triangle is BC = 3 feet

The hypotenuse of the triangle is AC = 5 feet

And , the triangles share a common height

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

So , the height of the triangle AB = √ ( AC )² - ( BC )²

On simplifying , we get

The height of the triangle AB = √ ( 25 ) - ( 9 )

The height of the triangle AB = √16

The height of the triangle AB = 4 feet

Hence , the height of the triangle is 4 feet

To learn more about triangles click :

https://brainly.com/question/16739377

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Answer:

0.17 people / sq ft

Step-by-step explanation:

1 If a rectangular pool is 15 feet long and 8 feet wide and there are 20 people in the pool; what is the density of people in the pool?

1.3 people per square foot.

2.5 people per square foot.

06 people per square foot.

.17 people per square foot.

Density of people in pool is number of people per square foot.

area = length * width = 15 ft * 8 ft = 120 ft^2

density = people/sq ft = 20 people / 120 sq ft = 0.17 people / sq ft

Answer:

0.17 people / sq ft

Step-by-step explanation:

Answer:

$250

Step-by-step explanation:

Total parts:

2+3+9 = 14

500/14 = 250/7

2×250/7 : 3×250/7 : 9×250/7

500/7 : 750/7 : 2250/7

The largest share is 2250/7, the smallest share is 500/7.

Find the difference.

2250/7 - 500/7 = 250

Answer:

$250

Step-by-step explanation:

2x+3x+9x= $500

9x-2x= 7x=?

14x= $500

7x= $500/2= $250

Answer:

  B.  6

Step-by-step explanation:

The volume is proportional to the height. The ratio of the heights of the taller to shorter pyramids is 6 : 1. Since the pyramids have the same base ares, this is also the ratio of volumes.

The volume ratio is 6.

Answer:

8

Step-by-step explanation:

4/4=1

3/3=1

1+1+6=8

Answer:

the answer is C

Answer:

The answer is C.

Step-by-step explanation:

We are given: [tex]\frac{3+2i}{1-5i}[/tex]. To find the quotient, simplify it. To do that, multiply by the conjugate of the denominator.

The conjugate of [tex]1-5i[/tex] is [tex]1+5i.[/tex]\

Thus, we have:

[tex]\frac{3+2i}{1-5i} \cdot\frac{1+5i}{1+5i} =\frac{3+15i+2i+10i^2}{1-25i^2}[/tex]

Recall that [tex]i^2[/tex] is simply -1.

Thus, we have:

[tex]\frac{3+17i-10}{1-(-25)}=\frac{-7+17i}{26}[/tex]

We can split this:

[tex]-\frac{7}{26}+\frac{17}{26}i[/tex]

Answer:

Step-by-step explanation:

The answer is d)

y= 0.0018(x-105)^2 +7

Answer:

work is pictured and shown

Answer:

Part A ) Option A, Option C, Option E

Part B ) 1200 cm^2

Step-by-step explanation:

The area of a kite can be identified through 1 / 2 of the multiplication of each diagonal. The first diagonal is equivalent to the addition of 50 cm and 10 cm, while the second is of length 20 cm + 20 cm.

[tex]1 / 2 * ( 50 + 10 ) * ( 20 + 20 ),\\1 / 2 * ( 60 ) * ( 40 ),\\( 30 ) * ( 40 ),\\\\Area of Kite = 1200 square cm[/tex]

Consider the first option. If we take a look at the bit 2 * ( 1 / 2 * 20 * 50 ) the 2 and 1 /2 cancel each other out, leaving you with 20 * 50 = 1000 . Respectively in the expression 2 * ( 1 / 2 * 20 * 10 ) the 2 and 1 / 2 cancel each other out, leaving you with 20 * 10 = 200;

[tex]1000 + 200 = 1200 square cm,\\Option A - Correct![/tex]

The second option considers the expression 2 * ( 1 / 2 * 20 * 60 ). Again, the 2 and 1 / 2 cancel each other out, leaving you with 20 * 60;

[tex]20 * 60 = 1200 square cm,\\Option B - Correct![/tex]

Option C is a similar version of option a, besides the fact that the 1 / 2 doesn't exist. Thus, Option C is incorrect!

Option D is a similar version of option a as well, but as the 2 doesn't exist, it is incorrect!

This last option, option E is taken as 1 / 2 of the multiplication of the diagonals, and thus is correct!

[tex]1 / 2 * ( 40 * 60 ),\\1 / 2 * ( 2400 ),\\1200 square cm\\\\Correct![/tex]

Hope that helps!